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Finding the Third Proportional to 4,096 and 8,656

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Solution

The third proportional to 4,096 and 8,656 is: 18,292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096 : 8,656 = 8,656 : x
  2. Step 2: Convert to fraction form
    4,096/8,656 = 8,656/x
  3. Step 3: Cross multiply
    4,096x = 8,656 × 8,656
  4. Step 4: Simplify right side
    4,096x = 74,926,336
  5. Step 5: Solve for x
    x = 74,926,336/4,096
  6. Step 6: Final answer
    x = 18,292.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.